@Article{ATA-32-4,
author = {Menceur, M.,  and Mabrouk, B., A.,  and K., Betina},
title = {The Multifractal Formalism for Measures, Review and Extension to Mixed Cases},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {4},
pages = {303--332},
abstract = {<p style="text-align: justify;">The multifractal formalism for single measure is reviewed. Next, a mixed generalized multifractal formalism is introduced which extends the multifractal formalism of a single measure based on generalizations of the Hausdorff and packing measures to a vector of simultaneously many measures. Borel-Cantelli and Large deviations Theorems are extended to higher orders and thus applied for the validity of the new variant of the multifractal formalism for some special cases of multi-doubling type measures.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2016.v32.n4.1},
url = {https://global-sci.com/article/73933/the-multifractal-formalism-for-measures-review-and-extension-to-mixed-cases}
}